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Finding the Fourth Proportional to 14,342, 21,505.08 and 9,661.76

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Solution

The fourth proportional to 14,342, 21,505.08 and 9,661.76 is: 14,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342 : 21,505.08 = 9,661.76 : x
  2. Step 2: Convert to fraction form
    14,342/21,505.08 = 9,661.76/x
  3. Step 3: Cross multiply
    14,342x = 21,505.08 × 9,661.76
  4. Step 4: Simplify right side
    14,342x = 207,776,921.74
  5. Step 5: Solve for x
    x = 207,776,921.74/14,342
  6. Step 6: Final answer
    x = 14,487.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.